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Finding the Third Proportional to 90,850.50 and 212,202

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Solution

The third proportional to 90,850.50 and 212,202 is: 495,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,850.50 : 212,202 = 212,202 : x
  2. Step 2: Convert to fraction form
    90,850.50/212,202 = 212,202/x
  3. Step 3: Cross multiply
    90,850.50x = 212,202 × 212,202
  4. Step 4: Simplify right side
    90,850.50x = 45,029,688,804
  5. Step 5: Solve for x
    x = 45,029,688,804/90,850.50
  6. Step 6: Final answer
    x = 495,646.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.